{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 七.核支持向量机\n",
    "#### 1.线性模型与非线性特征"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "import matplotlib.pyplot as plt\n",
    "import mglearn\n",
    "X,y = make_blobs(centers=4,random_state=8)\n",
    "y = y%2\n",
    "mglearn.discrete_scatter(X[:,0],X[:,1],y)\n",
    "plt.xlabel('Feature 0')\n",
    "plt.ylabel(\"Feature 1\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\myAnaconda\\lib\\site-packages\\sklearn\\svm\\_base.py:976: ConvergenceWarning: Liblinear failed to converge, increase the number of iterations.\n",
      "  warnings.warn(\"Liblinear failed to converge, increase \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 尝试使用线性分割\n",
    "from sklearn.svm import LinearSVC\n",
    "linear_svm = LinearSVC().fit(X,y)\n",
    "\n",
    "mglearn.plots.plot_2d_separator(linear_svm,X)\n",
    "mglearn.discrete_scatter(X[:,0],X[:,1],y)\n",
    "plt.xlabel(\"feature 0\")\n",
    "plt.ylabel('feature 1')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<P>由上图可知：用于分类的线性模型只能用一条直线来划分数据点,对这个数据集无法给出较好的结果</P>\n",
    "<P>这是因为数据的分布不是硬间隔的,数据集并非线性可分.为了使用支持向量机分类,我们的解决方法是增加维度:</P>\n",
    "<P>现在,我们对输入特征进行扩展,比如添加第二个特征的平方(feature1 ** 2)作为一个新特征。现在我们将每个数据点分为三位点<br>\n",
    "(feature1,feature2,feature**2)</P>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "# 添加第二个特征的平方,作为一个新特征\n",
    "X_new = np.hstack([X,X[:,1:]**2])\n",
    "from mpl_toolkits.mplot3d import Axes3D,axes3d\n",
    "figure = plt.figure()\n",
    "# 3d可视化\n",
    "ax = Axes3D(figure,elev=-152,azim=-26)\n",
    "# 首先画出所有 y==0的点,在画出所有 y==1的点\n",
    "mask=y==0\n",
    "ax.scatter(X_new[mask,0],X_new[mask,1],X_new[mask,2],c='b',cmap=mglearn.cm2,s=60)\n",
    "ax.scatter(X_new[~mask,0],X_new[~mask,1],X_new[~mask,2],c='r',marker=\"^\",cmap=mglearn.cm2,s=60)\n",
    "ax.set_xlabel('feature0')\n",
    "ax.set_ylabel('feature1')\n",
    "ax.set_zlabel(\"feature**2\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\myAnaconda\\lib\\site-packages\\sklearn\\svm\\_base.py:976: ConvergenceWarning: Liblinear failed to converge, increase the number of iterations.\n",
      "  warnings.warn(\"Liblinear failed to converge, increase \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.svm import LinearSVC\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "linear_svm_3d = LinearSVC().fit(X_new,y)\n",
    "coef,intercept = linear_svm_3d.coef_.ravel(),linear_svm_3d.intercept_\n",
    "\n",
    "# 显示决策性边界\n",
    "figure = plt.figure()\n",
    "ax = Axes3D(figure,elev=-152,azim=-26)\n",
    "xx = np.linspace(X_new[:,0].min()-2,X_new[:,0].max()+2,50)\n",
    "yy = np.linspace(X_new[:,1].min()-2,X_new[:,0].max()+2,50)\n",
    "\n",
    "XX,YY = np.meshgrid(xx,yy)\n",
    "ZZ = (coef[0]*XX+coef[1]*YY+intercept)/-coef[2]\n",
    "ax.plot_surface(XX,YY,ZZ,rstride=8,cstride=8,alpha=0.3)\n",
    "ax.scatter(X_new[mask,0],X_new[mask,1],X_new[mask,2],c='b',cmap=mglearn.cm2,s=60)\n",
    "ax.scatter(X_new[~mask,0],X_new[~mask,1],X_new[~mask,2],c='r',marker=\"^\",cmap=mglearn.cm2,s=60)\n",
    "ax.set_xlabel('feature0')\n",
    "ax.set_ylabel('feature1')\n",
    "ax.set_zlabel(\"feature**2\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ZZ= YY**2\n",
    "dec = linear_svm_3d.decision_function(np.c_[XX.ravel(),YY.ravel(),ZZ.ravel()])\n",
    "plt.contourf(XX,YY,dec.reshape(XX.shape),levels=[dec.min(),0,dec.max()],cmap=mglearn.cm2,alpha=0.5)\n",
    "mglearn.discrete_scatter(X[:,0],X[:,1],y)\n",
    "plt.xlabel(\"F 0\")\n",
    "plt.ylabel(\"F 1\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.核技巧\n",
    "<P>核技巧指的是将数据集映射到更高维度的方法：一种方法是多项式核,另一种方法是高斯核(RBF)</P>\n",
    "\n",
    "### 3.理解svm\n",
    "<P>位于类别之间边界上的那些点：这些点被叫做支持向量，想要对新样本带你做预测,需要测量他与每个支持向量之间的距离。<br>\n",
    "分类决策是基于他与支持向量之间的距离以及在训练过程中学到的支持向量的重要想(保存在SVC的dual_coef_属性中</P>\n",
    "<P>数据点之间的距离由高斯核给出:krbf(x1,x2)=exp(-r||x1-x2||^2)</P>\n",
    "<P>这里x1,x2是数据点,||x1-x2表述欧氏距离,r(gama)表示高斯核的宽度</P>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.svm import SVC\n",
    "X,y=mglearn.tools.make_handcrafted_dataset()\n",
    "svm = SVC(kernel='rbf',C=10,gamma=0.1).fit(X,y)\n",
    "mglearn.plots.plot_2d_separator(svm,X,eps=0.5)\n",
    "mglearn.discrete_scatter(X[:,0],X[:,1],y)\n",
    "# 画出支持向量\n",
    "sv = svm.support_vectors_\n",
    "# 支持向量的类别标签由dual_coef_的正负号给出\n",
    "sv_labels = svm.dual_coef_.ravel() >0\n",
    "mglearn.discrete_scatter(sv[:,0],sv[:,1],sv_labels,s=15)\n",
    "plt.xlabel(\"F 0\")\n",
    "plt.ylabel('F 1')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> 支持向量是比较大的点"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.SVM调参.\n",
    "  <p>gamma参数用于控制高斯核的宽度,他决定了点与点之间的‘靠经’是指多大距离，C参数是正则化参数,与线性模型中用到的类似。他限制每个点的重要性</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x23e5be88c10>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 改变参数\n",
    "fig,axes = plt.subplots(3,3,figsize=(15,10))\n",
    "for ax,C in zip(axes,[-1,0,3]):\n",
    "    for a,gamma in zip(ax,range(-1,2)):\n",
    "        mglearn.plots.plot_svm(log_C=C,log_gamma=gamma,ax=a)\n",
    "\n",
    "axes[0,0].legend(['class 0','class 1','sv class 0','sv class 1'],ncol=4,loc=(0.9,1.2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<P>由上图可知，从左到右,gamma值逐渐变大,则高斯核半径越来越小,模型也来越复杂,左侧的曲线平滑度高于右侧</P>\n",
    "<P>从上到下,C值越来越大,决策曲线越来越弯曲,模型越来越复杂</P>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "训练集数据:0.9295774647887324\n",
      "测试集数据:0.8741258741258742\n"
     ]
    }
   ],
   "source": [
    "# 将RBF核应用到乳腺癌数据集上\n",
    "from sklearn.datasets import load_breast_cancer\n",
    "from sklearn.model_selection import train_test_split\n",
    "cancer =load_breast_cancer()\n",
    "X_train,X_test,y_train,y_test = train_test_split(cancer.data,cancer.target,random_state=12)\n",
    "svc = SVC()\n",
    "svc.fit(X_train,y_train)\n",
    "\n",
    "print(f\"训练集数据:{svc.score(X_train,y_train)}\")\n",
    "print(f\"测试集数据:{svc.score(X_test,y_test)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X_train.min(axis=0),'o',label='min')\n",
    "plt.plot(X_train.max(axis=0),'^',label='max')\n",
    "plt.legend(loc=4)\n",
    "plt.xlabel(\"Feature index\")\n",
    "plt.ylabel(\"Feature magnitude\")\n",
    "plt.yscale('log')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.为svm数据做预处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "训练集数据:0.9882629107981221\n",
      "测试集数据:0.9440559440559441\n"
     ]
    }
   ],
   "source": [
    "# 计算训练集中每个特征的最小值\n",
    "min_on_training= X_train.min(axis=0)\n",
    "# 计算训练集中每个特征的范围(最大值-最小值)\n",
    "range_on_training = (X_train-min_on_training).max(axis=0)\n",
    "\n",
    "# 减去最小值，然后除以范围\n",
    "X_train_scaled=(X_train-min_on_training) / range_on_training\n",
    "\n",
    "# 测试集做标准化\n",
    "X_test_scaled = (X_test-min_on_training) / range_on_training\n",
    "svc =SVC()\n",
    "svc.fit(X_train_scaled,y_train)\n",
    "\n",
    "print(f\"训练集数据:{svc.score(X_train_scaled,y_train)}\")\n",
    "print(f\"测试集数据:{svc.score(X_test_scaled,y_test)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "训练集数据:1.0\n",
      "测试集数据:0.958041958041958\n"
     ]
    }
   ],
   "source": [
    "# 尝试增大模型复杂度\n",
    "svc =SVC(C=1000)\n",
    "svc.fit(X_train_scaled,y_train)\n",
    "\n",
    "print(f\"训练集数据:{svc.score(X_train_scaled,y_train)}\")\n",
    "print(f\"测试集数据:{svc.score(X_test_scaled,y_test)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 总结\n",
    "<P>核支持向量机模型非常强大,在各种数据集上表现较好，他在低纬度和高纬度的数据集上表现都很好<br/>需要注意的是该模型往往需要做数据预处理和调整参数</P>\n",
    "<p>核SVM最重要的参数是正侧化参数C,核的选择以及核相关参数.RBF核只有一个参数gamma,他是高斯核宽度的倒数,gamma与C都能控制模型复杂度,较大的值<br>都对应更为复杂的模型</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
